Week 6 Live Lecture Presentation
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This document outlines the parts and instructions for a statistics lab covering normal distributions, the central limit theorem, confidence intervals, and an application to analyzing candy spending. The four parts include: 1) analyzing birth weight data using normal distributions, 2) analyzing age data using the central limit theorem, 3) calculating z-scores and t-scores, and 4) using confidence intervals to analyze candy spending data and make recommendations. For each problem, steps are provided to calculate relevant statistics and find solutions.
Week 6 Live Lecture Presentation
- 1. B HeardLecture for the Week 6 LabStatistics For Decision MakingNot to be used, posted, etc. without my expressed permission. B Heard
- 2. There are four parts to the lab this week:
- 3. Part 1: Normal Distributions and Birth Weights in America
- 4. Part 2: Central Limit Theorem and Age Distributions in the United States
- 5. Part 3: Finding z and t scores for Confidence Intervals
- 6. Part 4: Bob’s Candies (Using Confidence Intervals to decide a course of action)Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 7. Week 6 LabPart 1……….Not to be used, posted, etc. without my expressed permission. B Heard
- 8. Birth Weights in AmericaWeek 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 9. Week 6 LabBirth Weights in America, Number 1, part aYou can see that the graph has a mean of less than 7.5, so the 37 to 39 Weeks Gestation period is the obvious choice.Not to be used, posted, etc. without my expressed permission. B Heard
- 10. Birth Weights in America, Number 2, part bWe will identify the mean birth weight and standard deviation for the 32 to 35 week gestation period for this problem.The mean is 5.73 lbs and the standard deviation is 1.48 lb.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 11. Birth Weights in America, Number 2, part b continuedUsing the NORMDIST function with the point in question, the mean, the standard deviation, and the cumulative value “TRUE” gives the percent of babies under 5.5 lbs. The distribution “fills” from left to right.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 12. Birth Weights in America, Number 3, part bWe will identify the mean birth weight and standard deviation for the over 42 weeks gestation period for this problem.The mean is 7.65 lbs and the standard deviation is 1.12 lb.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 13. Birth Weights in America, Number 3, part b continuedUsing the NORMINV function with the .9 (left to right) to find the point at which 90% of the values are below and 10% above, the mean, and the standard deviation. The distribution “fills” from left to right.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 14. Birth Weights in America, Number 4, part bWe will identify the mean birth weight and standard deviation for the 37 to 39 week gestation period for this problem.The mean is 7.33 lbs and the standard deviation is 1.09 lb.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 15. Birth Weights in America, Number 4, part b continuedUsing the NORMDIST function with the points in question, I subtracted the value for 6 from the value for 9. This was .9373 - .1112 which equals our answer .8261Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 16. Birth Weights in America, Number 5, part bWe will identify the mean birth weight and standard deviation for the 32 to 35 week gestation period for this problem.The mean is 5.73 lbs and the standard deviation is 1.48 lb.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 17. Birth Weights in America, Number 5, part b continuedUsing the NORMDIST function with the point in question, the mean, the standard deviation, and the cumulative value “TRUE” gives the percent of babies under 3.3 lbs. The distribution “fills” from left to right.Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 18. Week 6 LabPart 2……….Not to be used, posted, etc. without my expressed permission. B Heard
- 19. Age Distribution in the United StatesWeek 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 20. Week 6 LabAge Distribution in the United States, Number 1The answer for number 1 is given to us. Make sure you see how it was calculated.Not to be used, posted, etc. without my expressed permission. B Heard
- 21. Week 6 LabAge Distribution in the United States, Number 2You will be finding the mean or average for the sample means in number 2. Use the Sample Means given in the lab’s Excel file.Not to be used, posted, etc. without my expressed permission. B Heard
- 22. Week 6 LabAge Distribution in the United States, Number 3Does this look like a “Bell-Shaped” curve to you?Not to be used, posted, etc. without my expressed permission. B Heard
- 23. Week 6 LabAge Distribution in the United States, Number 4On this one, use your same approach to creating a histogram that you did in a previous lab. You will use the sample data, set up your classes, find the frequencies, then create your histogram.Does it look like a normal curve?????Not to be used, posted, etc. without my expressed permission. B Heard
- 24. Week 6 LabAge Distribution in the United States, Number 5The answer for number 5 is given to us. Make sure you see how it was calculated.Not to be used, posted, etc. without my expressed permission. B Heard
- 25. Week 6 LabAge Distribution in the United States, Number 6You will be finding the standard deviation for the sample means in number 2. Use the Sample Means given in the lab’s Excel file and compare to the Central Limit Theorem in your book. What does the Central Limit Theorem say? Discuss how it applies here.Not to be used, posted, etc. without my expressed permission. B Heard
- 26. Week 6 LabPart 3……….Not to be used, posted, etc. without my expressed permission. B Heard
- 27. Finding z and t scores, Part 3Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 28. Week 6 LabFinding z and t scores, Number 1bJust input your value under Confidence level and the z-score is calculated for you! Make sure you look at the formula.Not to be used, posted, etc. without my expressed permission. B Heard
- 29. Week 6 LabFinding z and t scores, Number 2bJust input your value under Confidence level and sample size and the t-score is calculated for you! Make sure you look at the formula.Not to be used, posted, etc. without my expressed permission. B Heard
- 30. Week 6 LabPart 4……….Not to be used, posted, etc. without my expressed permission. B Heard
- 31. Bob’s Candies (Using Confidence Intervals…), Part 4Week 6 LabNot to be used, posted, etc. without my expressed permission. B Heard
- 32. Week 6 LabBob’s Candies, Number 1Use the “average” function and the “stdev” function in Excel to find the sample mean and sample standard deviation.Not to be used, posted, etc. without my expressed permission. B Heard
- 33. Week 6 LabBob’s Candies, Number 2In answering this question, take a look at the sample size!Not to be used, posted, etc. without my expressed permission. B Heard
- 34. Week 6 LabBob’s Candies, Number 3Based on your answer for number 2, choose the appropriate values using the same Excel functions you used in Part 3 of the lab.Not to be used, posted, etc. without my expressed permission. B Heard
- 35. Week 6 LabBob’s Candies, Number 4For 95% you wouldUse the formula E=Zc*(s/sqrt n), which =1.96*(6.205/6.325)=1.923Then find your endpoints, the Left endpoint would be x-E=Mean -1.923=______The Right endpoint would be x+E=Mean +1.923=____So, you can be 95% confident that the true mean amount the citizens spend per year is between ____and ______.Not to be used, posted, etc. without my expressed permission. B Heard
- 36. Week 6 LabBob’s Candies, Number 5On this one I would take a look at say the 99% lower limit (left hand limit). Discuss this. You would do this the same way you did the previous question (Number 4).Not to be used, posted, etc. without my expressed permission. B Heard
- 37. Week 6 LabBob’s Candies, Number 6On this question, compare Bob’s results (his data) to the national average ($75 per person).Not to be used, posted, etc. without my expressed permission. B Heard
- 38. Remember I will post the link to these charts atwww.facebook.com/statcaveCome to my facebook site throughout the week and I might post a few more hints.Week 6 Lab